जॉइन Examsbook
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प्र: If a number 72k23l is divisible by 88. Then find value of k and l ?

  • 1
    k=8 & l=2
  • 2
    k=7 & l=2
  • 3
    k=8 & l=3
  • 4
    k=7 & l=1
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उत्तर : 2. "k=7 & l=2"
व्याख्या :

Answer: B) k=7 & l=2 Explanation: If a number to be divisile by 88, it should be divisible by both "8" and "11" Check for '8' :For a number to be divisible by "8", the last 3-digit should be divisible by "8"Here 72x23y --> last 3-digit is '23y'So y=2 [ (i.e) 232 is absolutely divisible by "8"] Chech for '11' :For a number to be divisible by "11" , sum of odd digits - sum of even digits should be divisible by "11"(7 + x + 3) - (2 + 2 + y)(7 + x + 3) - (2 + 2 + 2)(10 + x) - 6 should be divisible by "11"for x = 7=> 17 - 6 = 11 [ which is absolutely divisible by "11"] So x = 7 , y= 2.

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